Waveshrink with Firm Shrinkage

@inproceedings{Gao2003WaveshrinkWF,
  title={Waveshrink with Firm Shrinkage},
  author={Hong-Ye Gao and Andrew G. Bruce},
  year={2003}
}
Donoho and Johnstone’s (1994) WaveShrink procedure has proven valuable for signal de-noising and non-parametric regression. WaveShrink has very broad asymptotic near-optimality properties. In this paper, we introduce a new shrinkage scheme, firm, which generalizes the hard and soft shrinkage proposed by Donoho and Johnstone (1994). We derive minimax thresholds and provide formulas for computing the pointwise variance, bias, and risk for WaveShrink with firm shrinkage. We study the properties of… CONTINUE READING
Highly Influential
This paper has highly influenced 13 other papers. REVIEW HIGHLY INFLUENTIAL CITATIONS
Highly Cited
This paper has 225 citations. REVIEW CITATIONS

Citations

Publications citing this paper.
Showing 1-10 of 136 extracted citations

A Survey on Wavelet Applications in Data Mining

SIGKDD Explorations • 2002
View 4 Excerpts
Highly Influenced

A two-term penalty function for inverse problems with sparsity constrains

2017 25th European Signal Processing Conference (EUSIPCO) • 2017
View 6 Excerpts
Highly Influenced

Quantum spectral analysis: frequency at time

ArXiv • 2016
View 9 Excerpts
Highly Influenced

Iterative Regularization and Nonlinear Inverse Scale Space Applied to Wavelet-Based Denoising

IEEE Transactions on Image Processing • 2007
View 3 Excerpts
Highly Influenced

225 Citations

01020'01'04'08'12'16
Citations per Year
Semantic Scholar estimates that this publication has 225 citations based on the available data.

See our FAQ for additional information.

References

Publications referenced by this paper.
Showing 1-10 of 10 references

Ideal spatial adaptation via Wavelet shrinkage

D. L. Donoho, I. M. Johnstone
Asymptopia? J. Roy. Statist. Soc. Ser.B • 1994
View 4 Excerpts
Highly Influenced

Wavelets on the interval and fast wavelet

A. Notes. Cohen, I. Daubechies, P. Vial
1993
View 4 Excerpts
Highly Influenced

S+WAVELETS: Version 1.1 release

A. G. Bruce, Gao, H.-Y, D. B. Percival
1996
View 2 Excerpts

Some uses of cumulants in wavelet analysis

Brillinger, R D.
J. Nonparametr. Statist • 1995

Wavelets on the interval and fast wavelet transforms

J. E. Dennis, H. H. W. Mei
Appl . Computational Harmonic Analysis • 1993

Two new unconstrained optimization algorithms which use function and gradient values

D. Donoho, I. Johnstone, G. Kerkyacharian, D. Picard
J . Optim . Theory and Appl . • 1979

Similar Papers

Loading similar papers…